Top-level heading

A finite volume approximation of a 2 Layer system for growth of sandpile based on schemes for discontinuous flux for hyperbolic conservation laws

Categoria
Seminari di Modellistica Differenziale Numerica
Data e ora inizio evento
Data e ora fine evento
Aula
Sala di Consiglio
Sede

Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma

Speaker

Aekta Aggarwal, TIFR Centre for Applicable Mathematics,India

We propose an explicit finite volume numerical scheme for a system of partial differential equations proposed in by K. P. Hadeler and C. Kuttler, a model for growing sandpiles under a vertical source on a flat bounded table, based on schemes for discontinuous flux for hyperbolic conservation laws. In such a system, an eikonal equation for the standing layer of the pile is coupled to an advection equation for the rolling layer. The idea is to include the source term in the form of an integral with the flux term and use the idea of well balanced schemes proposed by Mishra. Our schemes are monotone and can be extended to higher dimensions. We prove some basic estimates about the physical properties of the model. We compare our scheme and the results of the numerical experiments established in 1 and 2 dimension with the finite difference schemes proposed by Falcone and Vita. Our schemes work for larger CFL. Joint Work with Adimurthi and GDV Gowda